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Finding the Fourth Proportional to 20,592.65, 30,865.11 and 9,476.01

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Solution

The fourth proportional to 20,592.65, 30,865.11 and 9,476.01 is: 14,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,592.65 : 30,865.11 = 9,476.01 : x
  2. Step 2: Convert to fraction form
    20,592.65/30,865.11 = 9,476.01/x
  3. Step 3: Cross multiply
    20,592.65x = 30,865.11 × 9,476.01
  4. Step 4: Simplify right side
    20,592.65x = 292,478,091.01
  5. Step 5: Solve for x
    x = 292,478,091.01/20,592.65
  6. Step 6: Final answer
    x = 14,203.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.